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What would be the uncertainty in the position of a fly (mass = 1.054g) that was trave

  1. Dec 12, 2009 #1
    1. The problem statement, all variables and given/known data

    Heisenberg's uncertainty principle can be expressed mathematically as Delta X * Delta P = h/4 (pie[3.1414]), where Delta X and Delta P denote the uncertainty in position and momentum respectively an h is Planck's constant. What would be the uncertainty in the position of a fly (mass = 1.054 g) that was traveling at a velocity of 3.475 m/s if the velocity has an uncertainty of 1.44%?

    2. Relevant equations

    Plug and chug: Heisenberg's uncertainty principle formula.

    Delta P = m * Delta V

    3. The attempt at a solution

    Delta X = (h/4pie) * (1/ [Delta V * mass])

    [Delta V * mass] = 1.054 g x (1 kg / 1000g) x (1.44 / 100) x 3.475 = 5.274216 x 10-5

    Delta X = {(6.626 x 10-34) / 4 pie} / 5.274216 x 10-5 = 2.74472744 x 10-38
     
  2. jcsd
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